A Moscow Math Circle PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download A Moscow Math Circle PDF full book. Access full book title A Moscow Math Circle by Sergey Dorichenko. Download full books in PDF and EPUB format.
Author: Sergey Dorichenko
Publisher: American Mathematical Soc.
ISBN: 0821868748
Category : Mathematics
Languages : en
Pages : 266
Get Book Here
Book Description
Moscow has a rich tradition of successful math circles, to the extent that many other circles are modeled on them. This book presents materials used during the course of one year in a math circle organized by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57. Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge. The introduction describes in detail how the math circles at Moscow State University are run. Dorichenko describes how the early sessions differ from later sessions, how to choose problems, and what sorts of difficulties may arise when running a circle. The book also includes a selection of problems used in the competition known as the Mathematical Maze, a mathematical story based on actual lessons with students, and an addendum on the San Jose Mathematical Circle, which is run in the Russian style. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: Sergey Dorichenko
Publisher: American Mathematical Soc.
ISBN: 0821868748
Category : Mathematics
Languages : en
Pages : 266
Get Book Here
Book Description
Moscow has a rich tradition of successful math circles, to the extent that many other circles are modeled on them. This book presents materials used during the course of one year in a math circle organized by mathematics faculty at Moscow State University, and also used at the mathematics magnet school known as Moscow School Number 57. Each problem set has a similar structure: it combines review material with a new topic, offering problems in a range of difficulty levels. This time-tested pattern has proved its effectiveness in engaging all students and helping them master new material while building on earlier knowledge. The introduction describes in detail how the math circles at Moscow State University are run. Dorichenko describes how the early sessions differ from later sessions, how to choose problems, and what sorts of difficulties may arise when running a circle. The book also includes a selection of problems used in the competition known as the Mathematical Maze, a mathematical story based on actual lessons with students, and an addendum on the San Jose Mathematical Circle, which is run in the Russian style. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession.
Author: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 9780821816165
Category : Mathematics
Languages : en
Pages : 382
Get Book Here
Book Description
Focuses on differential equations and differential operators. This title includes such topics as convolution equations of variable order, hypoelliptic pseudodifferential operators, differential operators that decompose into wave factors, and nonlinear parabolic equations.
Author: Smilka Zdravkovska
Publisher: American Mathematical Soc.
ISBN: 9780821842614
Category : Mathematics
Languages : en
Pages : 306
Get Book Here
Book Description
This volume contains articles on the history of Soviet mathematics, many of which are personal accounts by mathematicians who witnessed and contributed to the turbulent and glorious years of Moscow mathematics. The articles in the book focus on mathematical developments in that era, the personal lives of Russian mathematicians, and political events that shaped the course of scientific work in the Soviet Union. Important contributions include an article about Luzin and his school, based in part on documents that were released only after perestroika, and two articles on Kolmogorov. The volume concludes with annotated bibliographies in English and Russian for further reading. The revised edition is appended by an article of Tikhomirov, which provides an update and general overview of 20th-century Moscow mathematics, and it also includes an Index of Names. This book should appeal to mathematicians, historians, and anyone else interested in Soviet mathematical history.
Author: American Mathematical Society
Publisher: American Mathematical Soc.
ISBN: 9780821895306
Category : Mathematics
Languages : en
Pages : 248
Get Book Here
Book Description
Ranges over such topics as subdifferentials of convex functions, ergodictheorems for dynamical systems, noncommutative probability theory, limit density matrices, and conservative Hamiltonian systems
Author: Roman Mikhaĭlovich Fedorov
Publisher: American Mathematical Soc.
ISBN: 0821884360
Category : Mathematics
Languages : en
Pages : 232
Get Book Here
Book Description
The Moscow Mathematical Olympiad has been challenging high-school students with stimulating, original problems for over 75 years. This volume presents a selection of problems from the Olympiad, along with detailed solutions.
Author: P. S. Aleksandrov
Publisher: American Mathematical Soc.
ISBN: 9780821816318
Category : Mathematics
Languages : en
Pages : 316
Get Book Here
Book Description
Focuses on topics in differential equations, including linear partialdifferential equations, elliptic equations, pseudodifferential equations, and Petrovskii-correct differential operators. This volume is dedicated to the memory of Ivan Georgievic Petrovskii and contains a memoriam of his life and work
Author: A. D. Brjuno
Publisher: American Mathematical Soc.
ISBN: 9780821895290
Category : Mathematics
Languages : en
Pages : 296
Get Book Here
Book Description
Topics covered are complex homogeneous spaces, transformations of systems of boundary value problems, operations on the class of all groups, elliptic pseudodifferential operators, and analytical form of differential equations
Author: D. O. Shklarsky
Publisher: Courier Corporation
ISBN: 0486319865
Category : Mathematics
Languages : en
Pages : 481
Get Book Here
Book Description
Over 300 challenging problems in algebra, arithmetic, elementary number theory and trigonometry, selected from Mathematical Olympiads held at Moscow University. Only high school math needed. Includes complete solutions. Features 27 black-and-white illustrations. 1962 edition.
Author: Alekseĭ Bronislavovich Sosinskiĭ
Publisher: American Mathematical Soc.
ISBN: 082187571X
Category : Mathematics
Languages : en
Pages : 322
Get Book Here
Book Description
The book is an innovative modern exposition of geometry, or rather, of geometries; it is the first textbook in which Felix Klein's Erlangen Program (the action of transformation groups) is systematically used as the basis for defining various geometries. The course of study presented is dedicated to the proposition that all geometries are created equal--although some, of course, remain more equal than others. The author concentrates on several of the more distinguished and beautiful ones, which include what he terms ``toy geometries'', the geometries of Platonic bodies, discrete geometries, and classical continuous geometries. The text is based on first-year semester course lectures delivered at the Independent University of Moscow in 2003 and 2006. It is by no means a formal algebraic or analytic treatment of geometric topics, but rather, a highly visual exposition containing upwards of 200 illustrations. The reader is expected to possess a familiarity with elementary Euclidean geometry, albeit those lacking this knowledge may refer to a compendium in Chapter 0. Per the author's predilection, the book contains very little regarding the axiomatic approach to geometry (save for a single chapter on the history of non-Euclidean geometry), but two Appendices provide a detailed treatment of Euclid's and Hilbert's axiomatics. Perhaps the most important aspect of this course is the problems, which appear at the end of each chapter and are supplemented with answers at the conclusion of the text. By analyzing and solving these problems, the reader will become capable of thinking and working geometrically, much more so than by simply learning the theory. Ultimately, the author makes the distinction between concrete mathematical objects called ``geometries'' and the singular ``geometry'', which he understands as a way of thinking about mathematics. Although the book does not address branches of mathematics and mathematical physics such as Riemannian and Kahler manifolds or, say, differentiable manifolds and conformal field theories, the ideology of category language and transformation groups on which the book is based prepares the reader for the study of, and eventually, research in these important and rapidly developing areas of contemporary mathematics.
Author: Sergeĭ Aleksandrovich Genkin
Publisher: American Mathematical Soc.
ISBN: 0821804308
Category : Mathematics
Languages : en
Pages : 286
Get Book Here
Book Description
Suitable for both students and teachers who love mathematics and want to study its various branches beyond the limits of school curriculum. This book contains vast theoretical and problem material in main areas of what authors consider to be 'extracurricular mathematics'.
